How do you write the equation in point slope form given Point: (1, 9); Slope: 5?

1 Answer
Mar 4, 2016

#y=5x+4#

Explanation:

To begin, you're going to want to find your #y#-intercept (or #b#). To do this, you have to substitute your point #(1,9)# into an equation. Those two points represent #x# #(1)# and #y# #(9)#. Like this:

#y=5x+b#

#9 = 5 * 1 +b#

#9 = 5 + b#

#9 - 5 = b implies b = 4# (your #y#-intercept)

Now, since you already have your slope #(5)#, just plug everything into your final equation #(y=mx+b)#

#y = 5x + 4#